Name
Abstract | ||
|---|---|---|
In this paper, the relationship between the decomposition of (linear, time-invariant, differential) behaviors and the solvability of certain two-sided diophantine equations is explored. The possibility of expressing a behavior as the sum of two sub-behaviors, endowed with a finite dimensional (and hence autonomous) intersection, one of which is a priori chosen, proves to be related to the solvability of a particular two-sided diophantine equation. In particular, the existence of a direct sum decomposition is equivalent to the solvability of a two-sided Bezout equation, and hence to the internal skew-primeness of a suitable matrix pair. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1016/S0005-1098(01)00079-6 | Automatica (Journal of IFAC) |
Keywords | Field | DocType |
two-sided Bezout equation,suitable matrix pair,internal skew-primeness,direct sum decomposition,Brief Behavior decomposition,certain two-sided diophantine equation,finite dimensional,particular two-sided diophantine equation | Diophantine set,Mathematical optimization,Algebra,Matrix (mathematics),Direct sum,A priori and a posteriori,Pure mathematics,Decomposition theorem,Diophantine geometry,Diophantine equation,Mathematics | Journal |
Volume | Issue | ISSN |
37 | 9 | 0005-1098 |
Citations | PageRank | References |
4 | 0.66 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mauro Bisiacco | 1 | 90 | 11.46 |
| Maria Elena Valcher | 2 | 493 | 39.11 |